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Finding the Fourth Proportional to 343,712,808,001.60, 515,569,212,002.40 and 343,712,808,001.60

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Solution

The fourth proportional to 343,712,808,001.60, 515,569,212,002.40 and 343,712,808,001.60 is: 515,569,212,002.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    343,712,808,001.60 : 515,569,212,002.40 = 343,712,808,001.60 : x
  2. Step 2: Convert to fraction form
    343,712,808,001.60/515,569,212,002.40 = 343,712,808,001.60/x
  3. Step 3: Cross multiply
    343,712,808,001.60x = 515,569,212,002.40 × 343,712,808,001.60
  4. Step 4: Simplify right side
    343,712,808,001.60x = 177,207,741,576,517,099,978,752
  5. Step 5: Solve for x
    x = 177,207,741,576,517,099,978,752/343,712,808,001.60
  6. Step 6: Final answer
    x = 515,569,212,002.40

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.